Results 71 to 80 of about 7,964 (239)
Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals
, 2016 The main aim of this paper is to give extension and refinement of the Hermite-Hadamard inequality for convex functions via Riemann-Liouville fractional integrals. We show how to relax the convexity property of the function f .
Feixiang Chen
semanticscholar +1 more source
Quantum Ghost Imaging by Sparse Spatial Mode Reconstruction
Advanced Quantum Technologies, Volume 8, Issue 5, May 2025.Hermite–Gaussian spatial modes are used in quantum ghost imaging for enhanced image reconstruction, by exploiting modal sparsity. By leveraging structured light as a basis for imaging, time‐efficient and high resolution quantum ghost imaging is achieved, paving the way for breakthroughs in low‐light, biological science applications.
Fazilah Nothlawala +4 more
wiley +1 more source
Journal of Inequalities and Applications, 2021 In this paper, we introduce ( h 1 , h 2 ) $(h_{1},h_{2})$ -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals.
Nidhi Sharma +3 more
doaj +1 more source
Some refinements of Hermite-Hadamard inequality and an open problem [PDF]
, 2016 We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known Simpson's rule in numerical integration.
S. Simić
semanticscholar +1 more source
Extended Hermite–Hadamard inequalities
AIMS Mathematics<p>In this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application.</p>
Lakhlifa Sadek, Ali Algefary
openaire +2 more sources
Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Among randomized numerical linear algebra strategies, so‐called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, for example, the solution of linear systems, eigenvalue computations, and the approximation of matrix functions.
Davide Palitta +2 more
wiley +1 more source
Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
, 2012 In this article, we extend some estimates of the right-hand side of a Hermite-Hadamard-type inequality for preinvex functions. Then, a generalization to functions of several variables on invex subsets of is introduced.
A. Barani, A. Ghazanfari, S. Dragomir
semanticscholar +1 more source
On multiparametrized integral inequalities via generalized α‐convexity on fractal set
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 980-1002, 15 January 2025.This article explores integral inequalities within the framework of local fractional calculus, focusing on the class of generalized α$$ \alpha $$‐convex functions. It introduces a novel extension of the Hermite‐Hadamard inequality and derives numerous fractal inequalities through a novel multiparameterized identity.
Hongyan Xu +4 more
wiley +1 more source
Advances in Difference Equations, 2020 In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt +5 more
doaj +1 more source
Journal of Inequalities and Applications, 2021 In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You +4 more
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